Abstract
If SU(2) potential Aμ, with Dμφ=?μφ+ Aμ×φ, can be expressed by n(xμ) with n ·n = 1 as Aμ= ?μn×n, we call it "deduced potential". Because Dμn = 0, it can be transformed into Abellian. Then, we find equivalent U/(l) potential and strength of field Fμv = Fμv ·n. This kind of Fμv (namely Ei and Bi) has the same specific properties and relations between E, B and n. Using this properties and relations, from the known strength of electric and magnetic field of monopole, we can construct a n = n(xμ) with n·n = 1. Then obtain the potential Aμ and its equivalent U(1) potential Cμ. In this way, we find a definite expression of potential for a moving monopole just like the Lienard-Wiechert potential for a moving charged particle. When monopole is at rest, the potential reduces to the famous Wu-Yang potential.
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